1393742972160 has 2160 divisors, whose sum is σ = 6394611484800. Its totient is φ = 283641937920.

The previous prime is 1393742972129. The next prime is 1393742972191. The reversal of 1393742972160 is 612792473931.

1393742972160 is a `hidden beast` number, since 1 + 3 + 93 + 7 + 429 + 72 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1393742972129) and next prime (1393742972191).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1393742972097 and 1393742972106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5181200506 + ... + 5181200774.

It is an arithmetic number, because the mean of its divisors is an integer number (2960468280).

Almost surely, 2^{1393742972160} is an apocalyptic number.

1393742972160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1393742972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197305742400).

1393742972160 is an abundant number, since it is smaller than the sum of its proper divisors (5000868512640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1393742972160 is a wasteful number, since it uses less digits than its factorization.

1393742972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 1393742972160 in words is "one trillion, three hundred ninety-three billion, seven hundred forty-two million, nine hundred seventy-two thousand, one hundred sixty".